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Finding the Third Proportional to 26,041 and 55,354

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Solution

The third proportional to 26,041 and 55,354 is: 117,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,041 : 55,354 = 55,354 : x
  2. Step 2: Convert to fraction form
    26,041/55,354 = 55,354/x
  3. Step 3: Cross multiply
    26,041x = 55,354 × 55,354
  4. Step 4: Simplify right side
    26,041x = 3,064,065,316
  5. Step 5: Solve for x
    x = 3,064,065,316/26,041
  6. Step 6: Final answer
    x = 117,663.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.